Symmetrical Extensions of Dirichlet Operators

Details Symmetrical Extensions of Dirichlet Operators Symmetrical Extensions of Dirichlet Operators

1997-02-12

arxiv.org/abs/funct-an/9702011v1

Mathematics

Functional Analysis

4 pages, AMSTeX, to appear in Proceedings of the Seventh Crimean Autumn Mathematical School-Simposium on Spectral and Evolutio

Scientific paper

There is constructed and considered the extension of classical Diriclet
operator corresponding to uniformly log-concave measure in the space of
symmetric differential forms. Sufficient conditions for its essential
self-adjointness in one-dimensional case as well as for the same of its
"sypersymmetric" part in general situations are given.

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